Search a number
-
+
19054740 = 22352947233
BaseRepresentation
bin100100010110…
…0000010010100
31022212002012010
41020230002110
514334222430
61520224220
7320651115
oct110540224
938762163
1019054740
11a835121
12646b070
133c420c3
14276020c
151a15cb0
hex122c094

19054740 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 4781056.

The previous prime is 19054727. The next prime is 19054747. The reversal of 19054740 is 4745091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19054698 and 19054707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19054747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81664 + ... + 81896.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 219054740 is an apocalyptic number.

19054740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19054740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19054740 is an abundant number, since it is smaller than the sum of its proper divisors (37554540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19054740 is a wasteful number, since it uses less digits than its factorization.

19054740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 19054740 is about 4365.1735360693. The cubic root of 19054740 is about 267.0961793521.

The spelling of 19054740 in words is "nineteen million, fifty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 233 235 282 290 348 435 466 470 564 580 699 705 870 932 940 1165 1363 1398 1410 1740 2330 2726 2796 2820 3495 4089 4660 5452 6757 6815 6990 8178 10951 13514 13630 13980 16356 20271 20445 21902 27028 27260 32853 33785 40542 40890 43804 54755 65706 67570 81084 81780 101355 109510 131412 135140 164265 202710 219020 317579 328530 405420 635158 657060 952737 1270316 1587895 1905474 3175790 3810948 4763685 6351580 9527370 19054740